475381198080 has 720 divisors, whose sum is σ = 1739894661120. Its totient is φ = 123906392064.

The previous prime is 475381198037. The next prime is 475381198091. The reversal of 475381198080 is 80891183574.

475381198080 is a `hidden beast` number, since 4 + 7 + 538 + 11 + 98 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1040221212 + ... + 1040221668.

Almost surely, 2^475381198080 is an apocalyptic number.

475381198080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475381198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869947330560).

475381198080 is an abundant number, since it is smaller than the sum of its proper divisors (1264513463040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475381198080 is a wasteful number, since it uses less digits than its factorization.

475381198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 475381198080 in words is "four hundred seventy-five billion, three hundred eighty-one million, one hundred ninety-eight thousand, eighty".